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Finding the Fourth Proportional to 340.39, 510.63 and 123.90

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Solution

The fourth proportional to 340.39, 510.63 and 123.90 is: 185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.39 : 510.63 = 123.90 : x
  2. Step 2: Convert to fraction form
    340.39/510.63 = 123.90/x
  3. Step 3: Cross multiply
    340.39x = 510.63 × 123.90
  4. Step 4: Simplify right side
    340.39x = 63,267.06
  5. Step 5: Solve for x
    x = 63,267.06/340.39
  6. Step 6: Final answer
    x = 185.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.